Bazsites.com Knot Theory
Directory Topics
On the Web
- A Knot Theory Primer - Comprehensive knot theory site focusing on the knot classification problem and knot tabulations. Has a tabulation of knots with up to 12 crossings.
- Mathematics and Knots Exhibition - High school level introduction to knot theory. Covers colourings, connected sums, torus knots, prime knots and applications of knot theory.
- A Circular History of Knot Theory - Starting with the flawed theory of Kelvin's knotted vortex to the work of Thurston, Jones and Witten, knot theory has circled back to its ancestral origins of theoretical physics.
- History of Knot Theory - Biographies of early knot theorists. Many early papers on knot theory (in pdf format) including papers by Tait, Kirkman, Little and Thomson.
- Knots on the Web (Peter Suber) - The most comprehensive collection of knotting resources on the web. Sections on knot tying, mathematical knot theory, knot art, and knot books.
- Kauffman, Louis H - A topologist working in knot theory discusses the connection between knot theory and statistical mechanics. Sections on cybernetics and knots, Fourier knots and the author's research papers.
- Megamath Knot Theory Page - An introductory overview of knot theory.
- The Knot Theory Home Page - Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations.
- Knot Theory - Covers techniques of distinguishing knots, types, applications, and Conway notations. Includes illustrations.
- Knot Theory and Quantum Gravity - Quantizing general relativity brings knot theory into quantum gravity. The Jones polynomial is shown to give rise to physical states of quantum gravity. Links to research papers by the author.
Wikipedia Articles
- Mutation (knot theory) - In the mathematical field of knot theory, a mutation is an operation on a knot that can produce different knots. Suppose K is a knot given in the form of a knot diagram.
- Satellite knot - In the mathematical area of knot theory, a satellite knot is a knot which contains an incompressible, non-boundary parallel torus in its complement Colin Adams, The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots, (2001), ISBN 0-7167-4219-5. The class of satellite knots include composite knots, cable knots ...
- Knot invariant - In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot. Some invariants are indeed numbers, but invariants can be as simple as a yes/no answer or as complicated as a homology theory .
- Knot polynomial - In the mathematical field of knot theory, a knot polynomial is a knot invariant in the form of a polynomial whose coefficients encode some of the properties of a given knot. The first knot polynomial, the Alexander polynomial, was introduced by J.
- Amphichiral knot - In the mathematical field of knot theory, an amphichiral knot, also called an achiral knot or amphicheiral knot, is an oriented knot equivalent to its mirror image.